Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
624 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 18. #11762833 | C4 | semidirect |
| 19. #11762832 | C4 | semidirect |
| 20. #11762832 | C4 | semidirect |
| 21. C17×#423 | C4 | semidirect |
| 184. #423 | #595 | semidirect |
| 235. C17 | #11246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#430 | 2 |
| #14544488 | 2 |
| #14544456 | 2 |
| C2×#11763676 | 2 |
| #14537346 | 2 |
| #11246 | 17 |